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Finding the Third Proportional to 114,500.25 and 162,523.50

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Solution

The third proportional to 114,500.25 and 162,523.50 is: 230,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,500.25 : 162,523.50 = 162,523.50 : x
  2. Step 2: Convert to fraction form
    114,500.25/162,523.50 = 162,523.50/x
  3. Step 3: Cross multiply
    114,500.25x = 162,523.50 × 162,523.50
  4. Step 4: Simplify right side
    114,500.25x = 26,413,888,052.25
  5. Step 5: Solve for x
    x = 26,413,888,052.25/114,500.25
  6. Step 6: Final answer
    x = 230,688.47

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.